Some further approximation properties of Nédélec finite elements, application to a posteriori analysis;Quelques propriétés d'approximation des éléments finis de Nédélec, application à l'analyse a posteriori

Comptes Rendus Mathematique

Volumn 344, Issue 7, 2007, Pages 461-466

  Bernardi, Christine ^a   Hecht, Frédéric ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947714119     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2007.02.010     Document Type: Article

References (10)

1. Amrouche C., Bernardi C., Dauge M., and Girault V. Vector potentials in three-dimensional nonsmooth domains. Math. Meth. Appl. Sci. 21 (1998) 823-864
2. Bernardi C., Maday Y., and Rapetti F. Discrétisations variationnelles de problèmes aux limites elliptiques. Mathématiques et Applications vol. 45 (2004), Springer-Verlag
3. 2-theory of the Maxwell operator in arbitrary domains. Russ. Math. Surveys 42 (1987) 75-96
4. Buffa A., Costabel M., and Dauge M. Algebraic convergence for anisotropic edge elements in polyhedral domains. Numer. Math. 101 (2005) 29-65
5. Ciarlet P.G. Basic error estimates for elliptic problems. In: Ciarlet P.G., and Lions J.-L. (Eds). Handbook of Numerical Analysis vol. II (1989) 17-351
6. Ciarlet Jr. P., and Zou J. Fully discrete finite element approaches for time-dependent Maxwell's equations. Numer. Math. 82 (1999) 193-219
7. Clément P. Approximation by finite element functions using local regularization. R.A.I.R.O. Anal. Numér. 9 R2 (1975) 77-84
8. Costabel M., and Dauge M. Computation of resonance frequencies for Maxwell equations in non smooth domains. In: Ainsworth M., Davies P., Duncan D., Martin P., and Rynne B. (Eds). Topics in Computational Wave Propagation (2004), Springer 125-161
9. Dupont T., and Scott R. Polynomial approximation of functions in Sobolev spaces. Math. Comput. 34 (1980) 441-463
10. 3. Numer. Math. 35 (1980) 315-341